Harmonic balance approach to periodic solutions of non-linear jerk equations

Abstract

Running Headline: HARMONIC BALANCE AND JERK EQUATIONS Total Number of Pages: 30 including: 4 Tables over 5 pages.2 SummaryThe method of harmonic balance is applied to nonlinear jerk equations, which involve the third-order time-derivative. For many types of cubic nonlinearities, the method yields good estimates of the period and displacement amplitude of oscillations for a range of values of initial velocity amplitude when compared with numerical solutions. Some limitations, notably the restriction to zero initial acceleration, as well as implications and possible extensions are discussed.3

He’s Variational Iteration Method for Nonlinear Jerk Equations: Simple but Effective

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